PHASE TRANSITIONS IN THE TWO-DIMENSIONAL O(3) MODEL
- 20 June 2002
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics B
- Vol. 16 (14), 1891-1897
- https://doi.org/10.1142/s0217979202011603
Abstract
We use Monte Carlo, transfer-matrix and finite-size scaling methods to investigate two-dimensional O (n) models with n > 2, in particular the case n = 3 which includes the classical Heisenberg model. Depending on the type of interaction and the lattice structure, two different types of phase transitions are present. One type resembles the hard-hexagon transition and occurs in the loop representation of the honeycomb O (n) model. The other type is a first-order transition which occurs for spin-spin interactions that are strongly nonlinear in the neighbor-spin products. When the nonlinearity is decreased, the first-order line ends in a critical point. The existence of the first-order line is in agreement with mean-field theory as well as with high- and low-temperature approximations.Keywords
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